{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Butterworth Bandpass\n",
      "======================================================================\n",
      "\n",
      "This cookbook recipe demonstrates the use of `scipy.signal.butter` to\n",
      "create a bandpass Butterworth filter. `scipy.signal.freqz` is used to\n",
      "compute the frequency response, and `scipy.signal.lfilter` is used to\n",
      "apply the filter to a signal. (This code was originally given in an\n",
      "answer to a [question at\n",
      "stackoverflow.com](http://stackoverflow.com/questions/12093594/how-to-implement-band-pass-butterworth-filter-with-scipy-signal-butter).)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.signal import butter, lfilter\n",
      "\n",
      "def butter_bandpass(lowcut, highcut, fs, order=5):\n",
      "    nyq = 0.5 * fs\n",
      "    low = lowcut / nyq\n",
      "    high = highcut / nyq\n",
      "    b, a = butter(order, [low, high], btype='band')\n",
      "    return b, a\n",
      "\n",
      "\n",
      "def butter_bandpass_filter(data, lowcut, highcut, fs, order=5):\n",
      "    b, a = butter_bandpass(lowcut, highcut, fs, order=order)\n",
      "    y = lfilter(b, a, data)\n",
      "    return y\n",
      "\n",
      "\n",
      "def run():\n",
      "    import numpy as np\n",
      "    import matplotlib.pyplot as plt\n",
      "    from scipy.signal import freqz\n",
      "\n",
      "    # Sample rate and desired cutoff frequencies (in Hz).\n",
      "    fs = 5000.0\n",
      "    lowcut = 500.0\n",
      "    highcut = 1250.0\n",
      "\n",
      "    # Plot the frequency response for a few different orders.\n",
      "    plt.figure(1)\n",
      "    plt.clf()\n",
      "    for order in [3, 6, 9]:\n",
      "        b, a = butter_bandpass(lowcut, highcut, fs, order=order)\n",
      "        w, h = freqz(b, a, worN=2000)\n",
      "        plt.plot((fs * 0.5 / np.pi) * w, abs(h), label=\"order = %d\" % order)\n",
      "\n",
      "    plt.plot([0, 0.5 * fs], [np.sqrt(0.5), np.sqrt(0.5)],\n",
      "             '--', label='sqrt(0.5)')\n",
      "    plt.xlabel('Frequency (Hz)')\n",
      "    plt.ylabel('Gain')\n",
      "    plt.grid(True)\n",
      "    plt.legend(loc='best')\n",
      "\n",
      "    # Filter a noisy signal.\n",
      "    T = 0.05\n",
      "    nsamples = int(T * fs)\n",
      "    t = np.linspace(0, T, nsamples, endpoint=False)\n",
      "    a = 0.02\n",
      "    f0 = 600.0\n",
      "    x = 0.1 * np.sin(2 * np.pi * 1.2 * np.sqrt(t))\n",
      "    x += 0.01 * np.cos(2 * np.pi * 312 * t + 0.1)\n",
      "    x += a * np.cos(2 * np.pi * f0 * t + .11)\n",
      "    x += 0.03 * np.cos(2 * np.pi * 2000 * t)\n",
      "    plt.figure(2)\n",
      "    plt.clf()\n",
      "    plt.plot(t, x, label='Noisy signal')\n",
      "\n",
      "    y = butter_bandpass_filter(x, lowcut, highcut, fs, order=6)\n",
      "    plt.plot(t, y, label='Filtered signal (%g Hz)' % f0)\n",
      "    plt.xlabel('time (seconds)')\n",
      "    plt.hlines([-a, a], 0, T, linestyles='--')\n",
      "    plt.grid(True)\n",
      "    plt.axis('tight')\n",
      "    plt.legend(loc='upper left')\n",
      "\n",
      "    plt.show()\n",
      "\n",
      "\n",
      "run()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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gL08YgfWImAPHhOlDBsIUSU8HqqpQ1N0P2y5vw0t9X9I4fe4csHQp8MsvQN2suU7L0KF8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\nhBCd/gfNqKtQCNzRpAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4205110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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+8x9n/WDXD9o+ZK2t7KHkGYBdyd3PP1fbFN1qpvfFF8A557C/33oLmD3b3ujx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\nW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       "text": [
        "<matplotlib.figure.Figure at 0x41dca90>"
       ]
      }
     ],
     "prompt_number": 5
    }
   ],
   "metadata": {}
  }
 ]
}
